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Finding the Third Proportional to 124,769 and 221,836

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Solution

The third proportional to 124,769 and 221,836 is: 394,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,769 : 221,836 = 221,836 : x
  2. Step 2: Convert to fraction form
    124,769/221,836 = 221,836/x
  3. Step 3: Cross multiply
    124,769x = 221,836 × 221,836
  4. Step 4: Simplify right side
    124,769x = 49,211,210,896
  5. Step 5: Solve for x
    x = 49,211,210,896/124,769
  6. Step 6: Final answer
    x = 394,418.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.